1) D
(2/9) x=24
2) C
6x4=24
24=w
W=1/4(6)
3) A
67=9n
67=9n-2
9n-2=67
4) D
C+2x+x-3=56
4x=59
X=14.75
Katie payed 14.75
5) 91
Explanation: divide 18 by two and you get 9. When you add six and seven you carry on so those are your numbers. After you add you get your consecutive numbers, 91 and 92. 91 is the smallest so that is your answer
6)-18
Explanation: c+c+2=-34
2c+2-34
2x=-36
X=-18
18 is your answer
7) 17
Explanation: divide 22 is half. This is 11. 11+6=17. 17 is your answer
8)D
9)A
11-3 =x
However that isn’t an option so I would suggest to choose 3
10)D
4(17-n)=64
X + 2y = 14
-5x + y = 18 --> y = 5x +18
x + 2(5x+18) = 14
x + 10x +36 = 14
11x + 36 = 14
11x = -22
x = -2
sub x = -2 back in one of first two equations:
x + 2y = 14
-2 + 2y = 14
2y = 16
y = 8
x = -2, y = 8
Given:
ABCD is a quadrilateral inscribed in a circle.
m∠A = (2x + 38)°, m∠B = 3x° and m∠D = (x + 20)°
To find:
Measure of angle C
Solution:
<em>In cylic quadrilateral, sum of the measures of opposite angles are 180°.</em>
m∠B + m∠D = 180°
3x° + x° + 20° = 180°
4x° + 20° = 180°
Subtract 20° from both sides.
4x° + 20° - 20° = 180° - 20°
4x° = 160°
Divide by 4 on both sides, we get
x° = 40°
<em>In cylic quadrilateral, sum of the measures of opposite angles are 180°.</em>
m∠A + m∠C = 180°
2x° + 38° + m∠C = 180°
2(40)° + 38° + m∠C = 180°
80° + 38° + m∠C = 180°
118° + m∠C = 180°
Subtract 118° from both sides, we get
m∠C = 62°
The measure of angle C is 62°.
Answer: Your answer would be A 1 1/4
Step-by-step explanation:
Answer:
I believe it is 11.5 but I’m not 100% sure
Step-by-step explanation: